Flops and Hilbert Scheme of Space Curve Singularities

Explore a detailed mathematical lecture on flops and Hilbert schemes of space curve singularities presented by Emanuel Diaconescu from Rutgers University at the M-Seminar of Kansas State University. Delve into joint research conducted with Mauro Porta, Francesco Sala, and Arian Vosoughinia, focusing on the application of pagoda flop transitions to derive explicit results for topological invariants of Hilbert schemes of space curve singularities. Gain insights into advanced algebraic geometry concepts and their applications in this comprehensive 1-hour and 22-minute talk, suitable for graduate students and researchers in mathematics.